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SCORPION-xisa [38]
2 years ago
8

Hello I need help with this, Don Manuel has 600m of fence to build a rectangular-shaped corral. You will take advantage of a ver

y long wall as one of the sides of the pen, that is, on the side of the wall you will not use fence. What should be the dimensions of the pen with maximum area among all those that use 600m of fence?​
Mathematics
1 answer:
Anton [14]2 years ago
5 0

Answer:  If the wall is 300 meters long, the dimensions of the fence with the maximum area will be 300 × 150 = 45000 m²

Step-by-step explanation:

try combinations in a chart

190 × (600-190)/2 = 38950  = 190 × 205       increasing area

200 × (600-200)/2 = 40000   = 200 × 200

220 × (600-220)/2 = 41800   == 220 × 190

240 × (600-240)/2 = 43200   == 240 × 180

260 × (600-260)/2 = 44200  == 260 × 170

280 × (600-280)/2 = 44800 .  == 280 × 160

<u>300 × (600-300)/2 = 45000  == 300 × 150</u>  Maximum Area

310 × (600-310)/2 = 44950 . == 310 × 145    decreasing area

320 × (600-320)/2 = 44800 . == 320 × 140    

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A model rocket is launched with an initial upward velocity of 60 m/s. The rocket's height h (in meters) after t seconds is given
Vedmedyk [2.9K]

Answer:

0.47 and 11.53

Step-by-step explanation:

h = 60t − 5t²

27 = 60t − 5t²

5t² − 60t + 27 = 0

Quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

t = [ -(-60) ± √((-60)² − 4(5)(27)) ] / 2(5)

t = (60 ± √3060) / 10

t = 0.47 or 11.53

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3 years ago
Which sequence could be described by the explicit definition: t_n=2^n+1t n = 2 n + 1
yuradex [85]

Answer:

2. 27

3. Option C. 3, 5, 9, 17, 33, ...

Step-by-step explanation:

2. The sequence is defined by the explicit function t_{n} = 2^{n}  - n

Therefore, the 5th term i.e. t_{5} of the sequence.

t_{5} = 2^{5}  - 5 = 32 - 5 = 27 (Answer)

3. The explicit definition is t_{n} = 2^{n}  + 1

Hence, t_{1} = 2^{1}  + 1 = 3

t_{2} = 2^{2}  + 1 = 5

t_{3} = 2^{3}  + 1 = 9

t_{4} = 2^{4}  + 1 = 17

Therefore, the option C is the right sequence. (Answer)

4 0
3 years ago
Read 2 more answers
The x-intercepts of a quadratic function are −3 and 5. What is the equation of its axis of symmetry?
Reil [10]

Answer:

x = 1

Step-by-step explanation:

Remember that the axis of symmetry is exactly halfway between the x-intercepts.  Find the average of -3 and 5 to obtain this x-value:  It is:

                         -3 + 5

x - intercept = ------------  =  x = 1

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3 years ago
Liner equations please help with answer!
svetlana [45]

Answer:

n = - \frac{4}{7}

Step-by-step explanation:

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3 years ago
ABCD is a parallelogram. Segment AC = 4x + 10. Find the value of x and y.
valkas [14]

Answer:

The values of x and y in the diagonals of the parallelogram are x=0 and y=5

Step-by-step explanation:

Given that ABCD is a parallelogram

And segment AC=4x+10

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By the property of parallelogram the diagonals are congruent

∴ we can equate the diagonals AC=BD

That is 3x+y=2x+y

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x+0=0 ( by adding the like terms )

∴ x=0

Given that segment AC=4x+10

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∴ AC=10

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Substitute x=0, 5(0)+2y=10

2y=10

y=\frac{10}{2}

∴ y=5

∴ the values of x and y are x=0 and y=5

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3 years ago
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